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The Sum of the Distances from the Orthocenter to the Vertices
The intersection of the altitudes of a triangle is called the orthocenter.
Let H be the orthocenter of the triangle ABC, and let
and
be its circumradius and inradius. When H lies inside ABC, HA + HB + HC = 2 (
+
).
Contributed by:
Jay Warendorff
THINGS TO TRY
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RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
Orthocenter
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Sum of the Distances from the Orthocenter to the Vertices
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheSumOfTheDistancesFromTheOrthocenterToTheVertices/
Contributed by:
Jay Warendorff
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